implicit derivative of (dy)/(dx), (x-y)^2=x+y-1

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

implicit derivative tangent volume laplace fourier

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Steps Examples

Generated by AI

cos²(x)=sin(x)

Solution

x=0.66623…+2πn, x=π−0.66623…+2πn

Degrees

x=38.17270…^◦+360^◦n, x=141.82729…^◦+360^◦n

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Solution steps

One step at a time

cos²(x)=sin(x)

Subtract sin(x) from both sides

cos²(x)−sin(x)=0

Rewrite using trig identities

1−sin(x)−sin²(x)=0

Solve by substitution

sin(x)=−1+√52 , sin(x)=√5−12

sin(x)=−1+√52 : No Solution

sin(x)=√5−12 : x=arcsin(√5−12 )+2πn, x=π−arcsin(√5−12 )+2πn

Combine all the solutions

x=arcsin(√5−12 )+2πn, x=π−arcsin(√5−12 )+2πn

Show solutions in decimal form

x=0.66623…+2πn, x=π−0.66623…+2πn

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